Ok, to clarify one thing, when they say "carbide" dies, they are only referring to either the sizing die or the factory crimp die and NOT the flaring die.
The dies themselves are made of steel. The ONLY thing carbide is that small ring at the base of the sizing die or factory crimp die. There is NO carbide on the flaring die. It is just steel and aluminum.
There is no need to have expensive carbide on the flaring die as it does not do any kind of sizing when used. It is designed to hold the case slightly loose, yet somewhat centered in the die, while it flares the case mouth open. If it did any kind of sizing, it would end up removing the flare from the case when you extract it from the die, thus defeating its purpose.
The pic below shows a steel die on the left and a carbide die on the right. Both dies are made of the same steel except for that tiny inner ring on the die on the right. Check your flaring die, you will NOT see a carbide ring on it. There is no benefit to using the Lee flaring die that you can't already do with a LNL AP kit.
I'm not trying to be an arse, just trying to save you some money.
I'br got LEE and RCBS dies in my LNL AP. Lee dies do sit pretty low in the press but they do work fine. If you already own dies, try first before buying new ones.